Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424bk |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23178378313728 = 215 · 312 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68475,-6892886] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:58:1] |
Generators of the group modulo torsion |
j |
8934171875/5832 |
j-invariant |
L |
4.6527309133072 |
L(r)(E,1)/r! |
Ω |
0.29514372980309 |
Real period |
R |
3.9410721315436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2178h2 69696ex2 5808z2 17424bj2 |
Quadratic twists by: -4 8 -3 -11 |